%0 Journal Article
%T Some Relations Between Kekule Structure and Morgan-Voyce Polynomials
%J Iranian Journal of Mathematical Chemistry
%I University of Kashan
%Z 2228-6489
%A Gultekin, I.
%A Sahin, B.
%D 2017
%\ 06/01/2017
%V 8
%N 2
%P 221-229
%! Some Relations Between Kekule Structure and Morgan-Voyce Polynomials
%K Kekule structure
%K Hosoya Index
%K Morgan-Voyce polynomial
%K Caterpillar Tree
%R 10.22052/ijmc.2017.49481.1177
%X In this paper, Kekule structures of benzenoid chains are considered. It has been shown that the coefficients of a B_n (x) Morgan-Voyce polynomial equal to the number of k-matchings (m(G,k)) of a path graph which has N=2n+1 points. Furtermore, two relations are obtained between regularly zig-zag nonbranched catacondensed benzenid chains and Morgan-Voyce polynomials and between regularly zig-zag nonbranched catacondensed benzenid chains and their corresponding caterpillar trees.
%U https://ijmc.kashanu.ac.ir/article_44912_aac8686b1165c6a5ad1135a5ce3ad326.pdf